I have 3 yorkies right now....going on (shopping for) our fourth. That will be our limit, not because 4, 5, or more would be to many for me, but just because of our house size, city laws, etc. Under the right conditions, I agree that I could NEVER have to many yorkies. LOVE THEM TO DEATH!
As for you.....sounds to me like 4 yorkies is to many for your daughter; not for you. So go with you heart on the puppy you want to keep and what you feel is too many yorkies for you.